Poisson Distribution

Fit, evaluate, and generate random samples from Poisson distribution

统计和机器学习工具箱™提供veral ways to work with the Poisson distribution.

Create a probability distribution objectPoissonDistributionby fitting a probability distribution to sample data or by specifying parameter values. Then, use object functions to evaluate the distribution, generate random numbers, and so on.
Work with the Poisson distribution interactively by using theDistribution Fitterapp. You can export an object from the app and use the object functions.
Use distribution-specific functions with specified distribution parameters. The distribution-specific functions can accept parameters of multiple Poisson distributions.
Use generic distribution functions (cdf,icdf,pdf,random) with a specified distribution name ('Poisson') and parameters.

To learn about the Poisson distribution, seePoisson Distribution.

Objects

PoissonDistribution Poisson probability distribution object

Apps

Distribution Fitter

Fit probability distributions to data

Functions

expand all

`PoissonDistribution`Object Functions

Create`PoissonDistribution`Object

`makedist`	Create probability distribution object
`fitdist`	Fit probability distribution object to data

Work with`PoissonDistribution`Object

`cdf`	Cumulative distribution function
`icdf`	Inverse cumulative distribution function
`iqr`	Interquartile range
`mean`	Mean of probability distribution
`median`	Median of probability distribution
`negloglik`	Negative loglikelihood of probability distribution
`paramci`	Confidence intervals for probability distribution parameters
`pdf`	Probability density function
`proflik`	Profile likelihood function for probability distribution
`random`	Random numbers
`std`	Standard deviation of probability distribution
`truncate`	Truncate probability distribution object
`var`	Variance of probability distribution

Distribution-Specific Functions

`poisscdf`	Poisson cumulative distribution function
`poisspdf`	Poisson probability density function
`poissinv`	Poisson inverse cumulative distribution function
`poisstat`	Poisson mean and variance
`poissfit`	Poisson parameter estimates
`poissrnd`	Random numbers from Poisson distribution

Maximum Likelihood Estimation

mle Maximum likelihood estimates

Distribution Plots

`distributionFitter`	Open Distribution Fitter app
Probability Distribution Function	Interactive density and distribution plots
`qqplot`	Quantile-quantile plot
`randtool`	Interactive random number generation

Topics

Poisson Distribution

The Poisson distribution is appropriate for applications that involve counting the number of times a random event occurs in a given amount of time, distance, area, and so on.

Poisson Distribution

Objects

Apps